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Stock-Based Compensation (Details) - USD ($) | 3 Months Ended | 6 Months Ended |  |  |
--- | --- | --- | --- | --- | ---
Jun. 30, 2023 | Jun. 30, 2022 | Jun. 30, 2023 | Jun. 30, 2022 | Dec. 31, 2022 | Jun. 01, 2021 | May 31, 2021
Stock-Based Compensation |  |  |  |  |  |  |
Stock-based compensation expense | $ 1,571,493 | $ 1,903,761 | $ 3,113,831 | $ 5,338,705 |  |  |
General and administrative |  |  |  |  |  |  |
Stock-Based Compensation |  |  |  |  |  |  |
Stock-based compensation expense | 644,353 | 1,180,639 | 1,413,455 | 3,425,682 |  |  |
Research and development |  |  |  |  |  |  |
Stock-Based Compensation |  |  |  |  |  |  |
Stock-based compensation expense | $ 927,140 | $ 723,122 | $ 1,700,376 | $ 1,913,023 |  |  |
Stock Options |  |  |  |  |  |  |
Stock-Based Compensation |  |  |  |  |  |  |
Options granted |  |  | 111,705 |  |  |  |
Weighted average exercise price |  |  | $ 13.29 |  |  |  |
Weighted average grant date fair value |  |  | $ 11.72 |  |  |  |
Exercise of stock options, shares | 7,142 | 0 | 59,897 | 70,101 |  |  |
Options outstanding | 1,709,150 |  | 1,709,150 |  | 1,657,342 |  |
Options, vested and exercisable | 1,426,229 |  | 1,426,229 |  | 1,310,667 |  |
Stock Options | Weighted average |  |  |  |  |  |  |
Stock-Based Compensation |  |  |  |  |  |  |
Expected term (in years) |  |  | 5 years 7 months 6 days |  |  |  |
Risk-free interest rate |  |  | 3.55% |  |  |  |
Expected volatility |  |  | 128.60% |  |  |  |
Dividend yield (as a percent) |  |  | 0.00% |  |  |  |
Stock Options | Immediate Vesting |  |  |  |  |  |  |
Stock-Based Compensation |  |  |  |  |  |  |
Options granted |  |  | 30,000 |  |  |  |
Term of award (in years) |  |  | 10 years |  |  |  |
Stock Options | Service-based vesting, quarterly installments |  |  |  |  |  |  |
Stock-Based Compensation |  |  |  |  |  |  |
Vesting period |  |  | 2 years |  |  |  |
Term of award (in years) |  |  | 10 years |  |  |  |
Previous Plans |  |  |  |  |  |  |
Stock-Based Compensation |  |  |  |  |  |  |
Shares available for future grants | 0 |  | 0 |  |  |  |
2019 Plan |  |  |  |  |  |  |
Stock-Based Compensation |  |  |  |  |  |  |
Shares authorized |  |  |  |  |  | 2,000,000 | 1,000,000
Shares available for future grants | 281,169 |  | 281,169 |  |  |  |

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- Definition Amount of expense for award under share-based payment arrangement. Excludes amount capitalized. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (h)(1)(i) -URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 + Details
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- Definition Period over which grantee's right to exercise award under share-based payment arrangement is no longer contingent on satisfaction of service or performance condition, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days. Includes, but is not limited to, combination of market, performance or service condition. + References Reference 1: http://www.xbrl.org/2003/role/exampleRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (a)(1) -URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 + Details
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- Definition The estimated dividend rate (a percentage of the share price) to be paid (expected dividends) to holders of the underlying shares over the option's term. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (f)(2)(iii) -URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 + Details
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- Definition The estimated measure of the percentage by which a share price is expected to fluctuate during a period. Volatility also may be defined as a probability-weighted measure of the dispersion of returns about the mean. The volatility of a share price is the standard deviation of the continuously compounded rates of return on the share over a specified period. That is the same as the standard deviation of the differences in the natural logarithms of the stock prices plus dividends, if any, over the period. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (f)(2)(ii) -URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 + Details
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- Definition The risk-free interest rate assumption that is used in valuing an option on its own shares. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (f)(2)(iv) -URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 + Details
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